Answer:
[tex]r = 1.6[/tex]
Step-by-step explanation:
Given
x ----- y
0.5. --- 0.8
1. --- 1.6
3.--- 4.8
25. --- 40
Required
Determine the constant of proportionality
This can be calculated using the following formula:
[tex]y = rx[/tex] ; Where r is the constant of proportionality;
Solve for r
[tex]r = \frac{y}{x}[/tex]
When x = 0.5; y = 0.8
[tex]r = \frac{0.8}{0.5}[/tex]
[tex]r = 1.6[/tex]
When x = 1; y =1.6
[tex]r = \frac{1.6}{1}[/tex]
[tex]r = 1.6[/tex]
When x = 3; y = 4.8
[tex]r = \frac{4.8}{3}[/tex]
[tex]r = 1.6[/tex]
When x = 25; y = 40
[tex]r = \frac{40}{25}[/tex]
[tex]r = 1.6[/tex]
Notice that the value of r is constant throughout;
Hence:
[tex]r = 1.6[/tex]
